Fig. 15.

Resulting Schechter parameters L* and α from a non-linear least-squares fit (using the Levenberg-Marquardt algorithm) of the Schechter function (Eq. (19)) to the binned differential 1/Vmax estimator (Eq. (8)) for different binning schemes. Panels from left to right show five different bin sizes Δ log LLyα[erg s−1] = {0.075, 0.1, 0.15, 0.2, 0.25}. Colour-coded in each panel is the best-fit (L*, α) pair according to the lowest-luminosity boundary of the starting bin. Incomplete bins (containing objects at fc < 0.15) are ignored in the fit, i.e. the magenta point in the panel Δ log LLyα[erg s−1] = 0.2 panel represents the adopted binning scheme (see Sect. 4.2) in Table 2 and Fig. 17. For guidance the likelihood contours and the maximum-likelihood solution from Fig. 12 are shown in each panel.
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